Answer:
The measure of angle JKL is m∠JKL=35°
Step-by-step explanation:
step 1
Find the measure of the arc KL
we know that
arc KL+arc KN+arc NL=360° ----> by complete circle
arc KL+150°+140°=360°
arc KL=360°-290°=70°
step 2
Find the measure of angle JKL
we know that
The inscribed angle is half that of the arc it comprises.
so
m∠JKL=(1/2)[arc KL]
substitute
m∠JKL=(1/2)[70°]=35°
